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Finding the Third Proportional to 158,377 and 341,510

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Solution

The third proportional to 158,377 and 341,510 is: 736,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,377 : 341,510 = 341,510 : x
  2. Step 2: Convert to fraction form
    158,377/341,510 = 341,510/x
  3. Step 3: Cross multiply
    158,377x = 341,510 × 341,510
  4. Step 4: Simplify right side
    158,377x = 116,629,080,100
  5. Step 5: Solve for x
    x = 116,629,080,100/158,377
  6. Step 6: Final answer
    x = 736,401.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.